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All the black pixels in the square root image across the first row differ from RGB(0,0,0) by 1,2 or 3 bits. The pattern (before I gave up) was this:
A few things I noticed initially: There is a disproportionate number of (100)'s in it, so I expect that is an important value although I'm not sure what the significance might be at the moment. I didn't see any 000 or 111, and there were no 2's either (in the sample I tried). My first guess is that you're using some sort of numbering system based on base-6 (since out of eight possible values, you seem to be using 6 of them). I think this is a reasonable guess since it would allow for any alphanumeric value to be encoded in 2 'bits'* (6^2=36=26+10). Using 3 bits per value would be far too much.
I don't have time right now to do any more, but my next step would be to split each group into sets of 2 and do a frequency analysis as well as look for double values and compare them to the most common letters/words with double letters.
*by 'bit', I mean a single pixel, even though a pixel contains 32 bits of information
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